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Original Articles

A probabilistic approach to stirling numbers of the first kind

Pages 3915-3923 | Received 01 Mar 1990, Published online: 27 Jun 2007
 

Abstract

Let be a sequence of independent random variables which take on one of the values 0, 1 with specified probabilities where B1=l with probability one. Then the sum takes on one of the values l,…,n with the probabilities related to Stirling numbers of the first kind. Using these random variables we show several properties of the numbers.

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